-
作者:Bhattacharya, Sragdhara; Ghosh, Arun; Das, Sarit K.
作者单位:Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur
摘要:Aiming to provide better compensation to discrete time (or, sampled-data), multivariable, linear time-invariant (LTI) plants that have nonminimum phase zeros, this article proposes a 2-rate, 2-degree-of-freedom, dynamic output feedback controller. Employing the lifting technique that may convert a 2-periodic system to a time-invariant form, it is shown that, under certain conditions, the equivalent LTI plant becomes a minimum-phase one. Consequently, an H8/loop-transfer-recovery-based LTI appr...
-
作者:Cacace, Filippo; Germani, Alfredo
作者单位:University Campus Bio-Medico - Rome Italy; University of L'Aquila
摘要:This article studies the identification problem of linear systems from a set of noisy input-output trajectories. The problem is formulated and solved as a least-square regularized estimate on a suitable function space of finite-bandwidth operators. This abstract setting is well suited to represent a broad class of finite- and infinite-dimensional linear systems. We determine the value of the regularization parameter as a function of the amount of noise on the learning trajectories and we show ...
-
作者:Shang, Jun; Chen, Tongwen
作者单位:University of Alberta
摘要:This article considers the problem of eavesdropping on remote state estimation. Linear encryption strategies are used to protect the transmitted data. Two types of data transmission are considered: raw measurements generated by traditional sensors as well as innovations generated by smart sensors. For these two transmission scenarios, the encryption coefficients are obtained by formulating different optimization problems, with the target of maximizing the eavesdropper's estimation error covari...
-
作者:Jadbabaie, Ali; Makur, Anuran; Mossel, Elchanan; Salhab, Rabih
作者单位:Massachusetts Institute of Technology (MIT); Purdue University System; Purdue University; Massachusetts Institute of Technology (MIT); Amazon.com
摘要:We introduce a new opinion dynamics model where a group of agents holds two kinds of opinions: inherent and declared. Each agent's inherent opinion is fixed and unobservable by the other agents. At each time step, agents broadcast their declared opinions on a social network, which are governed by the agents' inherent opinions and social pressure. In particular, we assume that agents may declare opinions that are not aligned with their inherent opinions to conform with their neighbors. This rai...
-
作者:Kousik, Shreyas; Dai, Adam; Gao, Grace Xingxin
作者单位:Stanford University; Stanford University
摘要:Ellipsoids are a common representation for reachability analysis, because they can be transformed efficiently under affine maps, and they allow conservative approximation of Minkowski sums, which let one incorporate uncertainty and linearization error in a dynamical system by expanding the size of the reachable set. Zonotopes, a type of symmetric, convex polytope, are similarly frequently used, because they allow efficient numerical implementations of affine maps and exact Minkowski sums. Both...
-
作者:Liu, Zhaobo; Li, Chanying
作者单位:Shenzhen University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
摘要:This article focuses on the stabilizability problem for a basic class of discrete-time nonlinear systems with multiple unknown parameters. We claim that such a system is stabilizable if its nonlinear growth rate is dominated by a polynomial rule. This rule cannot be relaxed in general since it becomes a necessary and sufficient condition when the system has a polynomial form (Li and Lam, 2013). We further prove that the concerned stabilizable system is possible to grow exponentially fast. Mean...
-
作者:Franca, Guilherme; Robinson, Daniel P.; Vidal, Rene
作者单位:University of California System; University of California Berkeley; Lehigh University; Johns Hopkins University
摘要:Recently, there has been great interest in connections between continuous-time dynamical systems and optimization methods, notably in the context of accelerated methods for smooth and unconstrained problems. In this article, we extend this perspective to nonsmooth and constrained problems by obtaining differential inclusions associated with novel accelerated variants of the alternating direction method of multipliers (ADMM). Through a Lyapunov analysis, we derive rates of convergence for these...
-
作者:Yi, Xinlei; Li, Xiuxian; Yang, Tao; Xie, Lihua; Chai, Tianyou; Johansson, Karl Henrik
作者单位:Royal Institute of Technology; Tongji University; Tongji University; Northeastern University - China; Nanyang Technological University
摘要:This article considers the distributed online convex optimization problem with time-varying constraints over a network of agents. This is a sequential decision making problem with two sequences of arbitrarily varying convex loss and constraint functions. At each round, each agent selects a decision from the decision set, and then only a portion of the loss function and a coordinate block of the constraint function at this round are privately revealed to this agent. The goal of the network is t...
-
作者:Zegers, Federico M. M.; Sun, Runhan; Chowdhary, Girish; Dixon, Warren E. E.
作者单位:State University System of Florida; University of Florida; University of Illinois System; University of Illinois Urbana-Champaign
摘要:This work explores the distributed state estimation problem for an uncertain, nonlinear, and continuous-time system. Given a sensor network, each agent is assigned a deep neural network (DNN) that is used to approximate the system's dynamics. Each agent updates the weights of their DNN through a multiple timescale approach, i.e., the outer layer weights are updated online with a Lyapunov-based gradient descent update law, and the inner layer weights are updated concurrently using a supervised ...
-
作者:Lei, Yan; Wang, Yan-Wu; Morarescu, Irinel-Constantin; Postoyan, Romain
作者单位:Huazhong University of Science & Technology; Huazhong University of Science & Technology; Huazhong University of Science & Technology; Centre National de la Recherche Scientifique (CNRS); Universite de Lorraine
摘要:This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know a controller that solves the problem in the absence of sampling. We then take sampling into account and present an event-triggered strategy, which consists of two independent sampling mechanisms, associated with the slow and the fast subsystems, respectively. In this settin...